That iPod will not be able to update to the latest version of the operating system (that is, iOS 15), but that doesn't matter, you can still use it for music that is in your iTunes Library.
To make use of the iPod, simply connect it to your computer and transfer music to it from your iTunes Library. If you don't know how to do this, please ask (as you may have an Android phone for all we know). This assumes that you have music in your library that you own (that is, not a subscription to Apple Music).
As an aside, one solution to the charging your phone at work issue is to buy yourself a power bank. A power bank is a small rechargeable battery with a USB outlet on it. Simply plug your phone into the power bank in order to give the phone additional charge.
You can charge the power bank when you are at home. I suggest that you buy one that has a minimum capacity of 7,500mAh. You don't need to be tech savvy to deal with this, simply look at the specification for the power bank: the higher the mAh number, the more power it has and the more times you can use it to charge up your phone before it needs to be recharged.